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Unformatted text preview: , and b = 3 s + t . 7. (12 pts.) Find the directional derivative of f ( x , y ) = 4 x 2-y 2 at the point (1,1) in the direction of v = 4,-1 . Is this the direction of maximum rate of change at the point (1,1)? YES NO (Circle one) (12 pts.) Find all local extreme values and/or saddle points of the function f ( x , y ) = e-x cos( y ). (12 pts.) Set up the system of 5 equations necessary to apply the method of Lagrange Multipliers to find the maximum and minimum values of f ( x , y , z ) = x 2-y 2 + z 2 subject to the two constraints g ( x , y , z ) = 3 x-2 y + z = 4 h ( x , y , z ) = x 2 + y 2 = 4 It is not necessary to solve this system of equations....
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This note was uploaded on 01/24/2011 for the course MATH 22 taught by Professor Brigham during the Winter '08 term at Missouri S&T.
- Winter '08